97785135 has 72 divisors (see below), whose sum is σ = 200674656. Its totient is φ = 43908480.

The previous prime is 97785133. The next prime is 97785151. The reversal of 97785135 is 53158779.

It is not a de Polignac number, because 97785135 - 2¹ = 97785133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97785131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134142 + ... + 134868.

It is an arithmetic number, because the mean of its divisors is an integer number (2787148).

Almost surely, 2^97785135 is an apocalyptic number.

97785135 is an abundant number, since it is smaller than the sum of its proper divisors (102889521).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97785135 is a wasteful number, since it uses less digits than its factorization.

97785135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 803 counting only the distinct ones).

The product of its digits is 264600, while the sum is 45.

The square root of 97785135 is about 9888.6366603289. The cubic root of 97785135 is about 460.7064366017.

The spelling of 97785135 in words is "ninety-seven million, seven hundred eighty-five thousand, one hundred thirty-five".